document.write( "Question 695724: Please help me solve this equation : Paula rows a boat 6 miles upstream in 3 hours. She returns 6 miles downstream in 2 hours. What is the rate at which Paula rows in still water? What is the rate of the current? \n" ); document.write( "

Algebra.Com's Answer #428632 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+s+\"$ = her speed rowing in still water
\n" ); document.write( "Let $\"+c+\"$ = the rate of the current
\n" ); document.write( " $\"+s+-+c+\"$ = the speed of the boat going upstream
\n" ); document.write( " $\"+s+%2B+c+\"$ = the speed of the boat going downstream
\n" ); document.write( "-------------
\n" ); document.write( "Her equation for going upstream:
\n" ); document.write( "(1) $\"+6+=+%28+s+-+c+%29%2A3+\"$
\n" ); document.write( "Her equation for going downstream:
\n" ); document.write( "(2) $\"+6+=+%28+s+%2B+c+%29%2A2+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "(1) $\"+6+=+3s+-+3c+\"$
\n" ); document.write( "(1) $\"+2+=+s+-+c+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+6+=+2s+%2B+2c+\"$
\n" ); document.write( "(2) $\"+3+=+s+%2B+c+\"$
\n" ); document.write( "---------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(1) $\"+2+=+s+-+c+\"$
\n" ); document.write( "(2) $\"+3+=+s+%2B+c+\"$
\n" ); document.write( " $\"+5+=+2s+\"$
\n" ); document.write( " $\"+s+=+2.5+\"$
\n" ); document.write( "and,since
\n" ); document.write( "(1) $\"+2+=+s+-+c+\"$
\n" ); document.write( "(1) $\"+2+=+2.5+-+c+\"$
\n" ); document.write( "(1) $\"+c+=+.5+\"$
\n" ); document.write( "Paula rows 2.5 mi/hr is still water
\n" ); document.write( "The speed of the current is .5 mi/hr
\n" ); document.write( "check answers:
\n" ); document.write( "(1) $\"+6+=+%28+2.5+-+.5+%29%2A3+\"$
\n" ); document.write( "(1) $\"+6+=+2%2A3+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+6+=+%28+2.5+%2B+.5+%29%2A2+\"$
\n" ); document.write( "(2) $\"+6+=+3%2A2+\"$
\n" ); document.write( "(2) $\"+6+=+6+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );